Zero modes of two-dimensional chiral p-wave superconductors
| dc.creator | Gurarie, V. | |
| dc.creator | Radzihovsky, L. | |
| dc.date | 2006-10-04 | |
| dc.date.accessioned | 2026-07-07T08:13:36Z | |
| dc.date.available | 2026-07-07T08:13:36Z | |
| dc.description | We discuss fermionic zero modes in the two-dimensional chiral p-wave superconductors. We show quite generally, that without fine-tuning, in a macroscopic sample there is only one or zero of such Majorana-fermion modes depending only on whether the total vorticity of the order parameter is odd or even, respectively. As a special case of this, we find explicitly the one zero mode localized on a single odd-vorticity vortex, and show that, in contrast, zero modes are absent for an even-vorticity vortex. One zero mode per odd vortex persists, within an exponential accuracy, for a collection of well-separated vortices, shifting to finite E or -E energies as two odd vortices approach. These results should be useful for the demonstration of the non-Abelian statistics that such zero-mode vortices are expected to exhibit, and for their possible application in quantum computation. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0610094 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0610094 | |
| dc.identifier | Phys. Rev. B 75, 212509 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.75.212509 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132825 | |
| dc.subject | Superconductivity | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Zero modes of two-dimensional chiral p-wave superconductors | |
| dc.type | text |